ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

• The total return, or increase in value over 5 years of ProShares Ultra Dow30 is 70%, which is smaller, thus worse compared to the benchmark SPY (77.2%) in the same period.
• Compared with SPY (71.7%) in the period of the last 3 years, the total return, or increase in value of 77.1% is larger, thus better.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Looking at the annual performance (CAGR) of 11.2% in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (12.2%)
• Looking at annual return (CAGR) in of 21.1% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (19.9%).

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the volatility of 29.5% of ProShares Ultra Dow30 is greater, thus worse.
• During the last 3 years, the 30 days standard deviation is 26.9%, which is higher, thus worse than the value of 15.2% from the benchmark.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• Looking at the downside risk of 20.5% in the last 5 years of ProShares Ultra Dow30, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.8%)
• Looking at downside deviation in of 18% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (10.1%).

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• Compared with the benchmark SPY (0.57) in the period of the last 5 years, the Sharpe Ratio of 0.3 of ProShares Ultra Dow30 is lower, thus worse.
• During the last 3 years, the risk / return profile (Sharpe) is 0.69, which is lower, thus worse than the value of 1.14 from the benchmark.

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• Compared with the benchmark SPY (0.82) in the period of the last 5 years, the excess return divided by the downside deviation of 0.43 of ProShares Ultra Dow30 is lower, thus worse.
• Looking at excess return divided by the downside deviation in of 1.03 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.71).

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

• Looking at the Ulcer Ratio of 14 in the last 5 years of ProShares Ultra Dow30, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.45 )
• Looking at Ulcer Ratio in of 8 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.5 ).

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -40.2 days of ProShares Ultra Dow30 is lower, thus worse.
• During the last 3 years, the maximum drop from peak to valley is -31.6 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• The maximum days below previous high over 5 years of ProShares Ultra Dow30 is 517 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum time in days below previous high water mark is 195 days, which is larger, thus worse than the value of 87 days from the benchmark.

AveDuration:

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 136 days of ProShares Ultra Dow30 is larger, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 41 days, which is larger, thus worse than the value of 20 days from the benchmark.